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Finding the Third Proportional to 197,426 and 433,264

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Solution

The third proportional to 197,426 and 433,264 is: 950,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,426 : 433,264 = 433,264 : x
  2. Step 2: Convert to fraction form
    197,426/433,264 = 433,264/x
  3. Step 3: Cross multiply
    197,426x = 433,264 × 433,264
  4. Step 4: Simplify right side
    197,426x = 187,717,693,696
  5. Step 5: Solve for x
    x = 187,717,693,696/197,426
  6. Step 6: Final answer
    x = 950,825.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.